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Finding the Fourth Proportional to 561,656.80, 842,488.80 and 224,725.60

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Solution

The fourth proportional to 561,656.80, 842,488.80 and 224,725.60 is: 337,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,656.80 : 842,488.80 = 224,725.60 : x
  2. Step 2: Convert to fraction form
    561,656.80/842,488.80 = 224,725.60/x
  3. Step 3: Cross multiply
    561,656.80x = 842,488.80 × 224,725.60
  4. Step 4: Simplify right side
    561,656.80x = 189,328,801,073.28
  5. Step 5: Solve for x
    x = 189,328,801,073.28/561,656.80
  6. Step 6: Final answer
    x = 337,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.